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1. A person sold a horse at a gain of 15%. Had he bought it for 25% less and sold it for Rs. 600 less, he would have made a profit of 32%. The cost price of the horse was:

A. Rs. 3,750

B. Rs. 3,250

C. Rs. 2,750

D. Rs. 2,250

Solution:

\begin{aligned} Let the original CP = Rs . X \\ Hence, \\ SP = X + 15 % of X \\ = \frac{115 X}{100} \\ = R s . \frac{23 x}{20} \\ New CP = x - 25 % of X \\ = \frac{75 x}{100} = \frac{3 x}{4} \\ New SP = \frac{3 x}{4} + 32 % of \frac{3 x}{4} \\ = R s . \frac{99 x}{100} \\ According to the question, \\ \frac{23 x}{20} - \frac{99 x}{100} = 600 \\ Or, \frac{115 x - 99 x}{100} = 600 \\ 16 x = 600 \times 100 \\ X = 600 \times \frac{100}{16} \\ = R s . 3750 \end{aligned}

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